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Finding the Fourth Proportional to 5,233.48, 7,850.22 and 2,459.23

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Solution

The fourth proportional to 5,233.48, 7,850.22 and 2,459.23 is: 3,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.48 : 7,850.22 = 2,459.23 : x
  2. Step 2: Convert to fraction form
    5,233.48/7,850.22 = 2,459.23/x
  3. Step 3: Cross multiply
    5,233.48x = 7,850.22 × 2,459.23
  4. Step 4: Simplify right side
    5,233.48x = 19,305,496.53
  5. Step 5: Solve for x
    x = 19,305,496.53/5,233.48
  6. Step 6: Final answer
    x = 3,688.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.